CM $232$: HW $4$

Spring $2024$

Problem $1$:

Problem $2*$

Compute the maximum factored axial compression load $($Pu$)$ for the following sections assuming A$992$ Gr$.50$ steel $)$:

a$.$ W$10$x$49$ for an unbraced length of $15ft$ in both $x$ and y directions and pin$-$pin end conditions

b$.$ W$12$x$120$ for an unbraced length of $22ft$ in both $x$ and y direction and fixed$-$fixed end conditions

c$.$ W$10$x$49$ for an unbraced length of $15ft$ in the $x$ direction and an unbraced length of $8ft$ in the $y$ direction $($weak$-$axis bracing at partial height$)$ and pin$-$pin end conditions at support points and bracing locations

Select a wide$-$flange $($W$)$ column shape for the following conditions assuming A$992$ Gr$.50$ steel $(Fy=50$ksi $)$: a$.$ Axial dead load $($PD$)=60$ kips and axial live load $(PL)=88$ kips for an unbraced length of $12ft$ in both $x$ and y directions and pin$-$pin end conditions

b$.$ Axial dead load $(PD)=103$ kips and axial live load $(PL)=155$ kips for an unbraced length of $16ft$ in the $x$ direction and an unbraced length of $12ft$ in the $y$ direction $($weak$-$axis bracing at partial height$)$ and pin$-$pin end conditions at support points and bracing locations

c$.$ Axial dead load $(PD)=142$ kips and axial live load $(PL)=213$ kips for an unbraced length of $20ft$ in the $x$ direction and an unbraced length of $10ft$ in the $y$ direction $($weak$-$axis bracing at mid height$)$ and pin$-$pin end conditions at support points and bracing locations